Daily Practice · Higher Plus

Daily Practice - Higher Plus

11th May 1997

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 163 and y = 110, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 5/(x - 1) + 6/(x) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 25.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 8 cm with an angle of 118° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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